Dodging mice, oxen bearing wide somewhere in America (3,6)
I believe the answer is:
new mexico
'somewhere in america' is the definition.
(New Mexico is a state of the US)
'dodging mice oxen bearing wide' is the wordplay.
'dodging' indicates anagramming the letters (letters dodge around).
'bearing' indicates putting letters inside.
'wide' becomes 'w' (abbreviation e.g. in cricket).
'mice'+'oxen'='miceoxen'
'miceoxen' is an anagram of 'nemexico'.
'nemexico' placed around 'w' is 'NEW MEXICO'.
(Other definitions for new mexico that I've seen before include "US state since 1912" , "Southern US state" , "Forty seventh state of the USA" , "US state W. of Texas" , "American state, capital Santa Fe" .)