The ornamental design for a motorcycle club caddy, as shown and described.
FIG. 1 is a front view of the motorcycle club caddy.
FIG. 2 is a side view of the motorcycle club caddy.
FIG. 3 is a top view of the motorcycle club caddy; and,
FIG. 4 is a side view of the motorcycle club caddy on a reduced scale while in use, with clubs and bag in position on the invention and attached to a motorcycle, which are shown in broken lines for purposes of illustration only and form no part of the claimed design.