Yours truly set new encounters (5)
I believe the answer is:
Here is my best explanation:
'encounters' is the definition.
('meet' can be a synonym of 'encounter')
'yours truly set new' is the subsidiary indication.
'yours truly' becomes 'me' (**).
'new' indicates anagramming the letters.
'set' with letters rearranged gives 'ets'.
(Other definitions for meets that I've seen before include "Gathers together", "Encounters, perhaps by appointment", "Encounters or suffices", "Comes across", "Joins with", "Comes together with others", "Comes into contact with", "Comes into the presence of" and "Hunt assemblies".)