It was similar to Mouse Trap but it had metal parts vs. plastic. It may have been more of a maze but there was a basket & perhaps stairs. It's been driving me crazy because I loved it & want to find for my kids. I played with it in the mid 80's so it could be from that point back.
I'm not sure if it ever included metal parts, but that sounds like it could have been crazy clock
Other than that possibly Flying Finnegan or Grape Escape
I believe it is grape escape. i can only remember that and mouse trap. both games are similar in design.
I know this is a really old thread, but could you be thinking of Snafu?