I would imagine airlines are not going to stop flying to Israel unless the airlines of origins country advises against travel...
I notice UK airlines are still flying and they have nothing mentioned at all on their websites about alternations or relaxed travel policies on the routes.
It maybe completely unrelated, but notice on the arrivals page of easyJet their TLV
flight this evening is running 47 minutes behind schedule stating "Delay due to air traffic control restrictions". Not sure is this is related to the rocket attacked and routes they are operating into and out of TLV
easyJet will not be effected with having to base crew in TLV
overnight as the same crews operate both the inbound and outbound routes from their respected bases to TLV
The UK's Foreign and Commonwealth office is giving the below advice of travel to Israel:
This advice has been reviewed and reissued with amendments to the Travel Summary (military operations in and around Gaza and travel to the West Bank) and to Safety and Security – Terrorism (threat level raised to “high”). The overall level of the advice has changed. We now advise against all but essential travel to areas within 40km of Israel's border with Gaza; we continue to advise against all travel to Gaza (including the waters off Gaza) and to the Sheba’a Farms and Ghajjar along the border with Lebanon.
I'd imagine European and western countries will liaise with each other and provide similar advice, if and when it needs to be changed.