Small opening indeed - reportedly permitted (6)
I believe the answer is:
eyelet
'small opening' is the definition.
(I've seen this before)
'indeed reportedly permitted' is the wordplay.
'indeed' becomes 'aye' (I've seen this before).
'reportedly' indicates a 'sounds like' (homophone) clue.
'permitted' becomes 'let' (I've seen this before).
'aye' sounds like 'eye'.
'eye'+'let'='EYELET'
(Other definitions for eyelet that I've seen before include "Hole for fastener" , "Small hole to pass lace through" , "Small opening in shoe for lace" , "hole in shoe leather?" , "Small ring, for shoelace perhaps" .)