Godliness has no heart or presence of mind? (6)
I believe the answer is:
sanity
'presence of mind?' is the definition.
(I've seen this before)
'godliness has no heart' is the wordplay.
'godliness' becomes 'sanctity' (I've seen this before).
'has no heart' says to hollow out the word (remove centre letters).
'sanctity' with its centre taken out is 'SANITY'.
'or' acts as a link.
(Other definitions for sanity that I've seen before include "Sound powers of mind" , "Condition of having a sound mind" , "Rationality" , "Reason and coherence" , "Sound sense" .)