North American wearing awfully cheap style (7)
I believe the answer is:
panache
'style' is the definition.
(synonyms)
'north american wearing awfully cheap' is the wordplay.
'north american' becomes 'na'.
'wearing' indicates putting letters inside.
'awfully' indicates an anagram.
'cheap' is an anagram of 'pache'.
'na' going inside 'pache' is 'PANACHE'.
(Other definitions for panache that I've seen before include "Dashing style" , "stylish carriage" , "Grand manner, theatricality" , "Dash and verve" , "A confident stylish manner" .)