Tabloid support for south-east Asian inhabitant (3,4)
'tabloid' is the definition.
(The Sun, UK newspaper)
'south-east asian inhabitant' is the wordplay.
'south' becomes 's' ('S' can be a synonym of 'south').
'east asian inhabitant' becomes 'un' (I can't justify this - if you can you should believe this answer much more).
's'+'un'='SUN'
'support for' is the link.
This may not be right. Some or all of it may belong to another bit of the clue.
(Other definitions for sun that I've seen before include "Nice weather" , "Star; newspaper" , "Star; paper" , "Centre of Earth's orbit" , "Rag" .)
'south-east asian inhabitant' is the definition.
(Asian animal)
'tabloid support' is the wordplay.
'tabloid' becomes 'sun' (The Sun, UK newspaper).
'support' becomes 'bear' (I've seen this before**).
'sun'+'bear'='SUN-BEAR'
'for' is the link.
(Another definition for sun bear that I've seen is " Creature seen at night".)