Hotels provide these hot points (4)
I believe the answer is:
inns
'hotels' is the definition.
(inn is a kind of hotel)
'these hot points' is the wordplay.
'these hot' becomes 'in' (both can mean fashionable).
'points' becomes 'ns' (N is an example).
'in'+'ns'='INNS'
'provide' is the link.
(Other definitions for inns that I've seen before include "Drinking places (frequented by barristers?)" , "Hotels" , "King's ..., for the legal eagles" , "Places to stay" , "Places of rest and sustenance for travellers" .)