Vulgar approach the latest of many (5)
I believe the answer is:
tacky
'vulgar' is the definition.
(synonyms)
'approach the latest of many' is the wordplay.
'approach' becomes 'tack' (I've seen this in another clue).
'the latest of' indicates one should take the final letters.
The final letter of 'many' is 'y'.
'tack'+'y'='TACKY'
(Other definitions for tacky that I've seen before include "In bad taste; not quite dry" , "Tawdry" , "Sleazy" , "lacking in taste" , "Sticky; showing poor taste" .)