Fellow getting into shelter turned up in coat (6)
I believe the answer is:
enamel
'coat' is the definition.
(enamel is a kind of coat)
'fellow getting into shelter turned up' is the wordplay.
'fellow' becomes 'man' (I've seen this before**).
'getting into' indicates putting letters inside.
'shelter' becomes 'lee' (I've seen this before).
'turned up' is a reversal indicator.
'man' inserted within 'lee' is 'lemane'.
'lemane' reversed gives 'ENAMEL'.
'in' is the link.
(Other definitions for enamel that I've seen before include "Hard substance covering teeth" , "Nail polish" , "hard cover" , "Outer tooth material" , "protection for canines?" .)