1. Literally, to shed, peel, or scrape off an outer layer of something. In this usage, a noun can be used between "sluff" and "off." A less common variant of "slough off." It can be pretty gross to watch a snake sluff off its skin, leaving behind a weird, hollow version of itself.
2. To dismiss, ignore, or minimize the importance of someone or something. In this usage, a noun or pronoun can be used between "sluff" and "off." A less common variant of "slough off." He kept heckling me during the show, but I sluffed him off and kept performing. The senator just sluffed off the journalist's comments, describing them later as "baseless" and "incendiary."
3. To procrastinate or avoid doing work. In this usage, the phrase is sometimes followed by a noun indicating the thing being avoided. A less common variant of "slough off." If you keep sluffing off, we'll be forced to give you a formal warning. I decided to sluff off my essay for the weekend and hang out with my friends instead.
sluff (off)and slough (off)
in. to waste time; to goof off. Watch him. He will sluff off if you don’t keep after him.