No shame occasionally offering some resistance (3)
I believe the answer is:
ohm
'some resistance' is the definition.
(I've seen this before)
'no shame occasionally' is the wordplay.
'occasionally' means one should take alternating letters (letters taken at regular intervals or occasions).
'no'+'shame'='noshame'
The alternate letters of 'noshame' are 'OHM'.
'offering' is the link.
(Other definitions for ohm that I've seen before include "A little resistance" , "SI unit of electrical resistance" , "Physicist" , "lawmaker" , "measure of resistance" .)