Yes, there will probably be tax on the depreciation, even if it was rented for a short time (there is an exception if it was rented for one part of ONE calendar year)..
However, that is really NOT complicated at all. So I would recommend NOT factoring that into your decision to rent the property or not. Unless you only plan on keeping it a short time or REALLY don't want to be a landlord, having a rental property can be quite nice. The monthly income can pay for any house expenses, plus hopefully give you some extra cash-flow.
