Shut in linen closet with no fabric around (7)
I believe the answer is:
enclose
'shut in' is the definition.
('enclose' can be a synonym of 'shut in')
'linen closet with no fabric around' is the wordplay.
'with no fabric around' indicates the answer is hidden within the clue (letters covering the solution must be removed).
'ENCLOSE' is hidden in the letters of 'linen closet'.
(Other definitions for enclose that I've seen before include "Include N pen" , "embrace" , "Cover" , "Hem in" , "Totally surround" .)