Doctor welcomed into old foreign friend's Asian craft (7)
I believe the answer is:
origami
'asian craft' is the definition.
'origami' can be an answer for 'craft' (I have seen 'Japanese craft' mean 'origami' so perhaps 'craft' could also mean 'origami'). I'm unsure of the 'asian' bit.
'doctor welcomed into old foreign friend's' is the wordplay.
'doctor' becomes 'rig' (I've seen this in other clues).
'welcomed into' is an insertion indicator.
'old' becomes 'o' (common abbreviation eg in OE for Old English).
'foreign friend' becomes 'ami' (I've seen this in another clue).
'o'+'ami'='oami'
'rig' put inside 'oami' is 'ORIGAMI'.
Can you help me to learn more?
(Other definitions for origami that I've seen before include "folding process" , "Oriental art of paper folding" , "It's crafty folding" , "Japanese crane construction?" , "Japanese art form -- I'm a giro (rev)" .)