1.Fit, headless rich folk seek Henry's crown (7)
HEALTHY (fit-def. Rich-Wealthy. Without W.(Headless). Henry's Crown= H)
2.... shapely being? (8)
Possibly ELLIPSIS? (Ellips (Shape) +is(Being)) (As mentioned by Arth)
3.Park authorities hate pirates with furies
ANGERS (Park Authorities=Rangers. Without R from Pirates. Def-Furies)
4.Brokers are ladies' dates wearing the first hat
AGENTS (Brokers-Def. Ladies dates-Gents. First Hat=A) (Thanks @Will!)
So, the final metacryptic clue:
HEALTHY ELLIPSIS ANGERS AGENTS. (6)