Depends who you ask, what kind of cherry you got and how you want the bow to look in the end.
Somebody will be along soon to tell you not to waste your time.... they may even make reference to some supposed yellow 'king.' My advice is to offer them a glass of hater-aid and continue on your journey.
If that doesn't turn you off, many fine bows have been made from cherries. Black cherry works well in a laminate bow (e.g. backed with Ash or Hickory), and can also be made into fine selfbows. Remember cherry is much stronger in compression than tension, so it needs to be wide (think 2.5 inches ish) in the inner limb, and prefers pyramid style taper. Fine, and long lasting cherry self bows can also be made from longer staves (e.g in the 70" category)
Sinew backed choke cherry bows are reported to be some of snappiest shooters around, but that is purely anecdotal as I have never shot one of these.
That being said, for most intended purposes there are usually better bow wood options available. But if you got a field full of trees and want to give it a go... don't let me stop you. Rock on.