Possible Clues:

• What one might do with red eye of cowboy?
• *Untrustworthy, as a business
• Soar past broken-down thing, unreliable
• Cowboy opens 15 across for heartless young man - he's close to Bishop on board we hear
• Disreputable
• Travel on the red-eye that's here today, gone tomorrow
• Travel by the red-eye that's here today, gone tomorrow
• Cowboy opens 15 across at the start of 5 down with wrong thing
• Unreliable start to 25 across born at end of February in the small hours
• *Like unreliable short-term businesses