Enchanting publication I name shortly (7)
I believe the answer is:
magical
'enchanting' is the definition.
(I've seen this before)
'publication i name shortly' is the wordplay.
'publication' becomes 'mag' (abbreviation for magazine).
'name' becomes 'call' (a name is a call-sign).
'shortly' means to remove the last letter.
'call' with its last letter removed is 'cal'.
'mag'+'i'+'cal'='MAGICAL'
(Other definitions for magical that I've seen before include "Charming" , "Mysterious, enchanting" , "Enchanting; wonderful" , "charmed" , "Bewitching" .)