If you have the proper tools and know how to use them, check index, carry up, barrel-cylinder gap, headspace and shell clearance.
If all checks out, and the revolver dry fires smoothly and properly, you may be okay to fire, but you won't know until you do it.
Arguably, the hand should be replaced and timed to the new ratchet.
Alternately, use the new cylinder with the old cylinder's guts to minimize the number of "changes" that might throw things out of whack.
Or let a qualified revolversmith run the checks -- and shoot with greater confidence.