Running glory in race starts to please healthy character (10)
I believe the answer is:
hieroglyph
'character' is the definition.
(thesaurus)
'running glory in race starts to please healthy' is the wordplay.
'running' indicates anagramming the letters (the letters run around to different places).
'in' means one lot of letters goes inside another.
'race' becomes 'hie' (synonyms).
'starts to' says to take the initial letters.
The initial letters of 'please healthy' is 'ph'.
'glory' with letters rearranged gives 'rogly'.
'hie'+'ph'='hieph'
'rogly' put within 'hieph' is 'HIEROGLYPH'.
(Other definitions for hieroglyph that I've seen before include "A character in symbolic writing" , "Stylised picture found in ancient Egyptian writings" , "Sign" , "Theban character" , "Character in Egyptian writing" .)