Avoid having the advertisement appear in the late afternoon (5)
I believe the answer is:
evade
'avoid' is the definition.
(I know that evade is a more specific form of the action escape)
'the advertisement appear in the late afternoon' is the wordplay.
'the advertisement' becomes 'ad' (short for advert).
'appear in' is an insertion indicator.
'the late afternoon' becomes 'eve' (I can't explain this - if you can you should believe this answer much more).
'ad' put inside 'eve' is 'EVADE'.
'having' acts as a link.
Can you help me to learn more?
(Other definitions for evade that I've seen before include "avoid answering" , "To get away from" , "Dodge, keep clear of" , "Dodge, elude" , "Sidestep" .)