One man's name for a bird lacking 'chic' (3)
I believe the answer is:
ken
'one man's name' is the definition.
'Ken' can be an answer for 'name'. I am unsure of the 'one man's' bit.
'bird lacking chic' is the wordplay.
'bird' becomes 'chicken' (chicken is a kind of bird).
'lacking' is a deletion indicator.
'chicken' with 'chic' taken away is 'KEN'.
'for a' is the link.
Can you help me to learn more?
(Other definitions for ken that I've seen before include "Awareness" , "One's range of knowledge" , "Notice" , "Understanding - boy's name" , "Identify; -- Livingstone" .)