The bar is referred to as a jackshaft.
Does a wood chipper use the same type of clutch as a go-kart? I don't know what kind of shaft the engine has.
Does the big sprocket on the jackshaft have a pulley and the little sprocket welded to it? Are the sprockets / pulleys welded to the jackshaft?
You can look for a belt clutch that fits your 15hp. If the engine fits that might be all you need. Looks like a 15horse will have clearance issues with the big sprocket on the jackshaft.
Otherwise, if going with a chain from the engine shaft, you might be able to go from a clutch and just wrap a chain around the big sprocket on the jackshaft (if chain pitch is compatible), or you might need to change out all the stuff on the jackshaft if there are clearance issues or chain compatibility issues.
If you have to change out all that stuff on the jackshaft, you might just go with the TC. The 40 series knockoffs are pretty cheap if you don't need a backplate. You have a jackshaft set up already so you don't need the backplate. You'd need a driver unit, a driven unit, a belt, a sprocket, and some lock collars.