If you're an hourly employee -- that is, you are entitled to overtime if you work extra hours -- then your employer is legally obligated to pay you for every hour you work, whether your hours have been officially cut or not. And you are still entitled to overtime if you work more than 40 hours in a week (or, in some states, more than eight hours in a day). For more information on the legality of hours cuts and similar cost-cutting measures, see Nolo's article Furloughs, Hour Cuts, and Pay Cuts: Your Rights.