With tip that is endless difficulty, here's another place for rubbish (7,3)
I believe the answer is:
wheelie bin
'another place for rubbish' is the definition.
I know nothing about this answer so I can't tell whether this works.
'with tip that is endless difficulty' is the wordplay.
'with' becomes 'w' (abbreviation).
'tip' becomes 'heel' (I've seen this before).
'that is' becomes 'ie' (abbreviation for id est, 'that is' in Latin).
'endless difficulty' becomes 'bin' (I can't explain this - if you can you should believe this answer much more).
'w'+'heel'+'ie'+'bin'='WHEELIE BIN'
'here's' acts as a link.
Can you help me to learn more?
(Other definitions for wheelie bin that I've seen before include "Portable refuse collector" , "dirty vessel" , "Moveable garbage container" .)