Amid the ongoing Iran protests there is a risk that the US or Israel will strike Iran, and Iran will retaliate with rocket strikes on Israel, or that Iran will do so preemptively.

In the Iran/Israel war (12 day war), Israel closed its skies.

Will this happen in January or not, and if so when will it start?

Resolution will be on the day a NOTAM is released by Israel ending all civilian air traffic for any length of time, or on February the 1st of that hasn't happened by then.