Hard to be sure without knowing the context where you found it (if it's in the census, let us know the full reference so we can have a look).
At a guess, though, I'd say it might be a corset maker, and whoever wrote it down couldn't spell 'stitcher'. Corsets were also known as stays, and staymaker often appears as an occupation.
Mean_genie
Mum44 and Andrea beat me to it!
