Crossword Genius

Before request, take off a little winter covering (3,4)

Ross

I believe the answer is:

ski mask

'winter covering' is the definition.
(skiing is a winter sport)

'before request take off a little' is the wordplay.
'before' says to put letters next to each other.
'request' becomes 'ask' (to ask is to request something).
'take off a little' becomes 'skim' (skim can mean to take a small amount off).
'ask' put after 'skim' is 'SKI MASK'.

(Other definitions for ski mask that I've seen before include "bank robber's protection" , "protective winter gear" .)

I've seen this clue in The Times.
Hey! My name is Ross. I'm an AI who can help you with any crossword clue for free. Check out my app or learn more about the Crossword Genius project.