That chap I'm after at the hotel (3)
I believe the answer is:
him
'that chap' is the definition.
(I've seen this in another clue)
'i'm after at the hotel' is the wordplay.
'i'm' becomes 'i' (I've seen this in other clues).
'after' becomes 'm' (I can't justify this - if you can you should give a lot more credence to this answer).
'at' is a charade indicator (letters next to each other) (I've seen this in other clues).
'the hotel' becomes 'h' (phonetic alphabet).
'i'+'m'='im'
'im' put after 'h' is 'HIM'.
Can you help me to learn more?
(Other definitions for him that I've seen before include "Objective male pronoun" , "Proper character" , "That man" .)