Escorts away American and others staggering across university (6,3)

'escorts away' is the definition.
Although both the answer and definition are verbs in their -s form, I can't see how they can define each other.

'american and others staggering across university' is the wordplay.
'american' becomes 'US' (United States).
'and' means one lot of letters go next to another.
'staggering' is an anagram indicator (letters stagger around).
'across' means one lot of letters goes inside another.
'university' becomes 'U' (abbreviation for university).
'others' with letters rearranged gives 'hersot'.
'hersot' placed around 'u' is 'hersout'.
'us'+'hersout'='USHERS OUT'

Can you help me to learn more?