A name I had for the faint-hearted (5)
I believe the answer is:
timid
'the faint-hearted' is the definition.
(I've seen this before)
'a name i had' is the wordplay.
'a name' becomes 'tim' (short for Timothy).
'i had' becomes 'I'd' (I'd).
'tim'+'id'='TIMID'
'for' acts as a link.
(Other definitions for timid that I've seen before include "Easily alarmed, shy" , "Pusillanimous" , "Bashful or fearful" , "not forward" , "Diffident, faint-hearted" .)