Possible Clues:

• Edges of travelator, enough to walk on
• Crush under-foot
• Step on public transport: request stops early
• Traipse over
• Squash, enough and to spare beside drained tumbler
• Proceed without regard for
• Ruthlessly crush — nut performed a lot (anag)
• Walk heavily or roughly
• Tread heavily underfoot
• Walk all over male animal wearing shabby pelt