Paying a call is involved in proposing a meeting not at home (8)
I believe the answer is:
visiting
'paying a call is involved in proposing a' is the definition.
I can't tell whether this defines the answer.
'meeting not at home' is the wordplay.
'meeting' becomes 'visit' (visit is a kind of meeting).
'not at home' becomes 'ing' (I can't explain this - if you can you should believe this answer much more).
'visit'+'ing'='VISITING'
Can you help me to learn more?
(Other definitions for visiting that I've seen before include "Gin visit (anag.)" , "Staying as a guest" , "Calling to see" .)