Compete with new article about city in which Bob offered to pose or play (6)
I believe the answer is:
vienna
'city in which bob offered to pose or play' is the definition.
(reference to a Bob Dylan concert in Vienna)
'compete with new article about' is the wordplay.
'compete with' becomes 'vie' (to vie with someone is to compete with them).
'new' becomes 'n' (common abbreviation eg NT for New Testament).
'article' becomes 'an' (indefinite article).
'about' shows that the letters should be reversed in order.
'an' reversed gives 'na'.
'vie'+'n'+'na'='VIENNA'
(Other definitions for vienna that I've seen before include "Strauss 'Tales from the . . . . . . Woods'" , "somewhere in Austria" , "City of Strauss and the waltz" , "Capital city of Austria" , "European capital" .)