Model runs my bath - she's first to be stripped - it's not true but plenty of people believe it (5,4)
I believe the answer is:
urban myth
'be stripped it's not true but plenty of people believe it' is the definition.
I know nothing about this answer so I can't tell whether this works.
'model runs my bath she's first' is the wordplay.
I cannot really understand how this works, but
'model' could be 't' (Ford Model T car) and 't' is present in the answer.
'runs' could be 'r' (cricket abbreviation) and 'r' is found within the answer.
'my' is within the answer.
'first' could be 'a' (first letter of the alphabet) and 'a' is found within the answer.
This explanation may well be incorrect...
'to' is the link.
Can you help me to learn more?
(Other definitions for urban myth that I've seen before include "Legend - 1 8 across?" , "Very plausible but untrue story" , "yarn given an unlikely twist" .)