Line cut oddly in garment (7)
I believe the answer is:
tunicle
'garment' is the definition.
(type of religious garment)
'line cut oddly' is the wordplay.
'oddly' is an anagram indicator.
'line'+'cut'='linecut'
'linecut' with letters rearranged gives 'TUNICLE'.
'in' acts as a link.
(Other definitions for tunicle that I've seen before include "... suitable apparel [18D>BISHOP]" , "Liturgical vestment" .)