Asian, one chasing a lover around Grand Hotel (7)
I believe the answer is:
afghani
'asian' is the definition.
(I've seen this before)
'one chasing a lover around grand hotel' is the wordplay.
'one' becomes 'i' (roman numeral).
'chasing' says to put letters next to each other.
'lover' becomes 'fan' (synonyms).
'around' means one lot of letters goes inside another.
'grand hotel' becomes 'gh' (this could be a standard abbreviation which I don't know about).
'fan' placed around 'gh' is 'fghan'.
'a'+'fghan'='afghan'
'i' put after 'afghan' is 'AFGHANI'.
(Other definitions for afghani that I've seen before include "Native of Kabul, say" , "language" , "Native of Kabul, for instance" , "Asian capital" , "One coming from Kabul" .)