Put another way, soldier staggered around river (11)
I believe the answer is:
paraphrased
'staggered around river' is the definition.
Although both the answer and definition are past participle verbs, I don't see how one could define the other.
'put another way soldier' is the wordplay.
'put another way' becomes 'paraphrase' (I've seen this in another clue).
'soldier' becomes 'd' (I can't explain this - if you can you should believe this answer much more).
'paraphrase'+'d'='PARAPHRASED'
Can you help me to learn more?
(Other definitions for paraphrased that I've seen before include "in other words" , "Reworded while keeping meaning" .)