Town on Thames newly laid out in east? South! (7)
I believe the answer is:
staines
'town' is the definition.
(I've seen this before)
'out in east? south' is the wordplay.
'out' indicates anagramming the letters.
'south' becomes 's' ('S' can be a synonym of 'south'**).
'in'+'east'='ineast'
'ineast' is an anagram of 'staine'.
'staine'+'s'='STAINES'
'on thames newly laid' is the link.
I am not very happy about this link. Some or all of it may belong to another bit of the clue.
Can you help me to learn more?
(Other definitions for staines that I've seen before include "Town SW of Heathrow" , "Surrey town on Thames" .)