If you get it on the skin, you can try an orange wood stick, or a cleaning up brush with acetone
if it's too cured try clipping it gently with nippers. If all these steps end up disrupting your prep and puts your manicure at jeopardy, you can continue finishing ensuring whatever you put from here on is where it should be on the nail, and take a file at the very end and smooth around the side.
Just so you know though, this is not why your one hand would be dull. Sounds to me like it wasn't cured long enough.