I would not trust that arrangement. One extra item that would make it - IMO - OK, is to use one or more of the small plastic ties ( readily available in $ stores in packages of a number of them in varied lengths ) wrapped around the servo through a small hole drilled through the wood/plastic base. Then if the tape gets loose, you have a good chance of discovering it before you pick up a broken flying machine.

I use a lot of those little ties and big ties to hold and/or secure various items in their place.