Kitchen sink clogs are almost always grease, food particles, or soap scum buildup in the P-trap or the first few feet of drain pipe. Unlike toilet clogs (which are usually sudden), kitchen sink clogs build gradually -- the drain gets slower over weeks until it stops completely. The fix follows a progression: plunger first, P-trap cleaning second, drain snake third. Chemical drain cleaners are the one thing you should NOT use -- they corrode pipes, damage garbage disposals, and create a splash hazard if you plunge afterward.