look up any word, like eiffel tower:
 
1.
To place your recyclable pop/beer/etc. containers in the alley for other people to pick up and obtain the refund for.

"I don't feel like taking the beer cans to the store to return, lets leave it on the front porch for the bumcycling."
by Pod 6 November 10, 2007
 
2.
When bums show up on bikes behind your building and go through the bins
Hey you, stop bumcycling back here behind my building
by DDjojo June 19, 2008