Encourage popular tourist attraction we hear (6)
I believe the answer is:
incite
'encourage' is the definition.
(I've seen this before)
'popular tourist attraction we hear' is the wordplay.
'popular' becomes 'in' ('in' can mean trendy).
'tourist attraction' becomes 'sight' (I've seen this in another clue).
'we hear' shows a homophone (sound like).
'sight' is a homophone of 'cite'.
'in'+'cite'='INCITE'
(Other definitions for incite that I've seen before include "Prompt" , "Urge, instigate" , "Arouse to action" , "Stir up (eg, violence)" , "Stir up (trouble)" .)