Land a chap dug up after father (6)
I believe the answer is:
panama
'land' is the definition.
(Panama is an example)
'a chap dug up after father' is the wordplay.
'chap dug' becomes 'man' (I can't explain this - if you can you should believe this answer much more).
'up' says the letters should be written backwards (in down clue: letters go upwards).
'after' is a charade indicator (letters next to each other).
'father' becomes 'pa' (pa is a kind of father).
'a'+'man'='aman'
'aman' written backwards gives 'nama'.
'nama' put after 'pa' is 'PANAMA'.
Can you help me to learn more?
(Other definitions for panama that I've seen before include "Central American state" , "Canal zone" , "Headgear for a canal" , "Great canal in middle America" , "American canal or kind of hat" .)