I count on us flying non-stop (10)
I believe the answer is:
continuous
'non-stop' is the definition.
'i count on us flying' is the wordplay.
'flying' is an anagram indicator.
'i'+'count'+'on'+'us'='icountonus'
'icountonus' with letters rearranged gives 'CONTINUOUS'.
(Other definitions for continuous that I've seen before include "without stopping" , "Without interruption" , "Uninterrupted" .)