Houses are still relatively cheap in Cavan town, you would be looking at a 2 hour commute each way, Bus eireann goes every hour or you could drive, traffic can be bad in Navan and when you hit dublin.
If your budget allows you, look at properties in Virginia, its about an hour and half from dublin. I have a friend that commutes up to Blanchardstown from Virginia, leaves at 6.30am, gets up to work by 8am, leaves by 4.30 and gets home around 6.30pm, its a long day, but if you really want to get on the property market, its doable, when they build the M3 traffic should improve.