have, etc. an/the edge on/over somebody/something

have an edge on

To be drunk. Do you remember last night at the bar at all? You really had an edge on.
See also: edge, have, on

have the edge on (someone or something)

To have an advantage over someone or something. I've been preparing for this debate for weeks so that I have the edge on my opponent. Now that we have George, I think we definitely have the edge on the other team.
See also: edge, have, on
Farlex Dictionary of Idioms.

have an edge on

Also, have the edge on. Have an advantage over, as in Our team has an edge on them, or In this competition our town has the edge. The use of edge here alludes to the power to cut, transferred to a margin of superiority. [Late 1800s]
See also: edge, have, on
The American Heritage® Dictionary of Idioms by Christine Ammer.

have, etc. an/the edge on/over somebody/something

be slightly better, faster, etc. than somebody/something; have an advantage over somebody/something: Max’s design is very good, but I think Paul’s has the edge on it. Extra training will give our team an edge over the opposition.
See also: edge, on, over, somebody, something
Farlex Partner Idioms Dictionary

have an edge on

tv. to be alcohol intoxicated. (see also edge. Have got can replace have.) Bob has an edge on even though he hardly drank anything.
See also: edge, have, on
McGraw-Hill's Dictionary of American Slang and Colloquial Expressions
See also:
  • have an edge on
  • have an edge on (someone or something)
  • have an/the edge over (someone or something)
  • back and edge
  • topple off
  • cutting edge
  • a cutting edge
  • topple off of (something)
  • topple from (something)
  • edge around