One way went on horseback then purposefully walked (6)
I believe the answer is:
strode
'purposefully walked' is the definition.
'strode' can be an answer for 'walked' (I've seen this in another clue). I am unsure of the 'purposefully' bit.
'one way went on horseback' is the wordplay.
'one way' becomes 'st' (abbreviation for street).
'went on horseback' becomes 'rode' (I've seen this before).
'st'+'rode'='STRODE'
'then' acts as a link.
Can you help me to learn more?
(Other definitions for strode that I've seen before include "Walked fast with long steps" , "went on foot" , "Paced" , "Galumphed" .)