When he exits say going north, turn & climb going south.
Watch for him to come back on your 6, at about 1.2k break hard, split S works great for this.  IE roll upside down, pull into downward loop. Since he's faster he's not going to be able to follow. If he DOES, you have a chance at him. If not once he's off, zoom back up & climb.
Once your above him you can start causing him some worries. 
Watch the HO as he has 4 x 20mm. Comes down to a crap shoot as to which can aim better, fire, & duck.
109G10 can get a tempest if he has an alt & E head start.  Tougher in Hurri, best bet is to drag him to some friendlys in fast movers.