Rise that has Charlie opening fashionable branch of business (7)
I believe the answer is:
incline
'rise' is the definition.
(incline can mean to rise or go up)
'charlie opening fashionable branch of business' is the wordplay.
'charlie' becomes 'c' (phonetic alphabet: alpha, bravo, charlie etc.).
'opening' means one lot of letters goes inside another (some letters open a gap in others).
'fashionable' becomes 'in' (in can mean fashionable or trendy).
'branch of business' becomes 'line' (someone's line of work).
'in'+'line'='inline'
'c' going within 'inline' is 'INCLINE'.
'that has' acts as a link.
(Other definitions for incline that I've seen before include "tip" , "Turn" , "Lean, slope" , "prejudice" , "Have a tendency to do or be something" .)