Feeling round cog (7)
I believe the answer is:
opinion
'feeling' is the definition.
(I know that feeling can be written as opinion)
'round cog' is the wordplay.
'round' becomes 'o' (round can mean a round object).
'cog' becomes 'pinion' (both can mean a mechanical part).
'o'+'pinion'='OPINION'
(Other definitions for opinion that I've seen before include "Point of view or thought on something" , "school of thought" , "View, barrister's advice" , "A view held, what one thinks" , "View, judgement" .)