if you have a replacment value policy, depends on the amount of your claim, there are actually 3 parts...
I don't remember what the cut off amount is, may differ from company to company, if you have a small claim, they just pay the whole replace value, then wait till you finish then pay your lost rent.
but if you have a large claim, they only pay the actual cash value of the claim first, meaning replacement value less depreciation, after you complete, then they pay you back the depreciation, plus lost rent.
also, insurance company has a choice of using their own contractor instead of paying you, but if they already cut you a check, that case is closed.
you can still ask for some lost rent, usually they pay 6 month as for standard claims, talk to the adjustor, see if they willing to pay 3 month?
I ususally don't file any claim that is under 3k, because they will raise premium on the policy, I have a single policy covers everything, so it is not worth it.
haha, hope it help.