Managed to travel on train avoiding wet times (3,2)

'managed' is the definition.
('get by' can be a synonym of 'manage')

'travel on train avoiding wet times' is the wordplay.
'travel' becomes 'goby' (eg go by train, travel by train).
'on' means one lot of letters goes inside another (as in clothing 'on' a person).
'avoiding' suggests deleting specific letters.
'wet' becomes 'rain' (wet weather).
'times' becomes 'tt' (two abbreviations for time).
'rain'+'tt'='raintt'
'raintt' with 'train' taken away is 't'.
'goby' enclosing 't' is 'GOT BY'.

'to' acts as a link.