Chap hugging in the manner of greeting (6)
I believe the answer is:
salaam
'greeting' is the definition.
(salaam is an Arabic greeting)
'chap hugging in the manner of' is the wordplay.
'chap' becomes 'Sam' (man's name).
'hugging' is an insertion indicator.
'in the manner of' becomes 'a la' (e.g. chicken a la King).
'sam' going around 'ala' is 'SALAAM'.
(Other definitions for salaam that I've seen before include "An Oriental greeting meaning peace" , "Greetings" , "Oriental salutation meaning peace" , "Arabic salutation" , "Muslim greeting gesture" .)