New shawl starts to get hot (6)
I believe the answer is:
stolen
'hot' is the definition.
(eg stolen goods are 'hot')
'new shawl starts' is the wordplay.
'new' becomes 'n' (common abbreviation eg NT for New Testament).
'shawl' becomes 'stole' (I've seen this before).
'starts' means one lot of letters go next to another.
'n' after 'stole' is 'STOLEN'.
'to get' acts as a link.
(Other definitions for stolen that I've seen before include "Snatched" , "Pilfered" , "without keeping to left" , "Filched" , "plagiarised?" .)