Get looks from Kate Mill later (4,5)
I believe the answer is:
take after
'get looks' is the definition.
I can't tell whether this definition defines the answer.
'kate mill later' is the wordplay.
I cannot really see how this works, but
an anagram of 'kate' is 'take' which is within the answer.
'later' could be 'after' (I've seen this before) and 'after' is found in the answer.
No letters remain.
This explanation may well be incorrect...
'from' is the link.
Can you help me to learn more?
(Other definitions for take after that I've seen before include "the next scene in the film" , "Look or be like, say parent" , "Resemble or imitate someone, often parent" , "Resemble as child often does parent" , "Resemble (an elder relative)" .)