Cut some ice bringing UN into bed (5)
I believe the answer is:
count
'cut some ice' is the definition.
(I've seen this before)
'un into bed' is the wordplay.
'into' means one lot of letters goes inside another.
'bed' becomes 'cot' (cot is a type of bed).
'un' placed within 'cot' is 'COUNT'.
'bringing' acts as a link.
(Other definitions for count that I've seen before include "Nobleman; tally" , "Reckon" , "Nobleman - tell how many" , "twenty three [NOBLE] from abroad" , "consideration" .)