Combine butter, onion, cucumber, salt, pepper, and dillweed in a heavy skillet. Cook over medium heat 10 minutes or until cucumber is crisp-tender. Remove from heat; add sour cream and parsley, tossing well. Cover and refrigerate at least 1 hour.
Serving Suggestion: Florida Sautéed Cucumbers may be served as an accompaniment to fish, veal, or chicken dishes.