12. Hence (?) in Hunting, to wait close upon: to keep close to (the horse immediately in front).
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the world > space > distance > nearness > be near to [verb (transitive)] > remain near to > the horse in front in hunting
to wait close upon1861
1861 G. J. Whyte-MelvilleMarket Harborough xxv Crasher..and Sawyer take their leaps abreast, and latter riding very quietly and carefully... Luxury is waiting close upon them.