Tricky this week, I thought.
One left: 4d
Support high-flyer's stage (6)
?O?S?E?
I can find a sort of support, both as a noun (as you might find in a bed) and a verb, but can't see how the "high-flyer" fits in. I thought maybe it might be a name for the stage that a trapeze artist takes off from, but Chambers doesn't agree.
(I did wonder about LOBSTER, as in Arthur Daley's expression "The world is your lobster"!)