The Government has said it is working to prioritise food deliveries
Public transport is expected to get back up and running Saturday after Storm Emma brought heavy snow and high winds - although disruption is expected.
Irish Rail says train services will not resume until midday Saturday at the earliest.
It says: "Line clearance works are being impeded and the safety of our employees and contractors overnight is paramount.
It adds that details will be confirmed as early as possible in the morning, and no later than 10.00am.
Full details are available on the Irish Rail website.
Spokesperson Barry Kenny said eearlier: "While there's no trains today, there's an awful lot of work going on in terms of ensuring that the lines and platforms are clear, and ensuring that our trains are ready for operation."
Bus Éireann, meanwhile, is hoping to operate limited services Saturday.
The company said: "We anticipate that we may be able to resume a level of services in some parts of the country tomorrow morning, dependent on the local road conditions.
"It is our aim to operate some services on the Expressway inter-city network, and possibly a level of regional city and town services, in less affected areas.
"However, there will not be any kind of full service schedule tomorrow due to difficult and dangerous road conditions in many parts of the country. We apologise for the inconvenience but saftey of staff and customers is paramount."
Dublin Bus hopes to operate services on Saturday, dependent on road and weather conditions.
No Luas services will operate Saturday morning, but a decision will be made at 9.00am on whether services can resume.
Operator Transdev said: "[We] anticipate service can resume later on Saturday on the Red and Green Lines but the services offered will be limited with reduced frequency and will not operate a full line.
"On the Green Line we do not anticipate a service on Saturday between Sandyford and Brides Glen and on the Red Line between Red Cow and Tallaght, Red Cow and Saggart. These sections of lines are badly affected by snow.
"Luas will resume service on the Lines when it is safe for staff and for customers to travel."
Please see https://t.co/GkL4FmFo1J for the most up to date information on Luas services today 2nd March and tomorrow 3rd March.— Luas (@Luas) March 2, 2018
Cork and Knock airports remain closed, while all flights are grounded at Dublin Airport until Saturday morning.
A Shannon Airport spokeswoman confirmed that airport will re-open at 5.00am on Saturday, weather permitting.
"Our airport snow crews were out ploughing the runway and taxi-ways all day today in severe weather conditions. Their efforts have proved successful and we are now clear to resume full operations from tomorrow morning, weather permitting.
“However, we strongly advise passengers intending to fly from, or travel to, Shannon Airport tomorrow to contact their relevant airline or check their website before travelling to the airport."
In a statement, Ryanair said it plans to return to operations at all Irish airports on Saturday, while remaining in close contact with the airports and emergency authorities.
"We recommend customers check the status of their flight at Ryanair.com before making their way to the airport."
But it said it expects some further disruptions, and has had to cancel a number of flights to/from Dublin Airport.
It said all affected customers have already been notified of their options by email and text message.
Aer Lingus said its Dublin short haul flight schedule on Saturday will be disrupted - with early morning flights cancelled and most operations not commencing until after 10.00am.
"We expect flights to/from Cork, Belfast, Knock to operate as scheduled. This is subject to further update.
"We await information on when Shannon is expected to become operational and we will update when this is confirmed".
Passengers are being directed to the Aer Lingus website.
Number of cancelled flights per airport in Europe on Friday.— Flightradar24 (@flightradar24) March 2, 2018
Dublin - 284
Heathrow - 197
Edinburgh - 115
Amsterdam - 89
Bristol - 75
Glasgow - 71
Geneva - 61 pic.twitter.com/9scCvf2YNn
Taoiseach Leo Varadkar said earlier the Government was prioritising getting food and fuel delivered to ensure supplies do not run out.
Good news; food won’t run out! pic.twitter.com/GmPD4Hr8cT— Juliette Gash (@JulietteGash) March 2, 2018
It comes as a red alert remains in place for Dublin, Kildare, Wexford, Wicklow and Meath until 9.00am Saturday, with lower-level warnings in place for other parts of the country.
Some areas remain impassable today:
#WICKLOW Many roads still impassable across the county due to continuing heavy snowfall. High tide leading to flooding around Wicklow Town too. More info here: https://t.co/pdsEzJTRQr pic.twitter.com/WalCxttgGO— AA Roadwatch (@aaroadwatch) March 2, 2018
Additional reporting: Jack Quann