The home side had racked up 20 points in the first 40 minutes after a Shane Roiser try and five Alex King penalties, but it was a rearguard action from the Tykes which saw them earn a share of the points.
With only two Braam van Straaten penalties to their credit before the interval, the South African then added a further three before hooker Mark Regan went over for a try on 69 minutes for the Yorkshiremen.
That score came after Paul Volley had crossed the line for Wasps, but just when it looked like all that Leeds would have for their efforts was a bonus point, Scarbrough – ignored by England for their November Tests – raced over for a vital try, Van Straaten holding his nerve to strike the conversion to continue their magnificent start to the season.
For London Wasps:Tries: Roiser, VolleyCon: KingPens: King 5
For Leeds Tykes:Tries: Regan, ScarbroughCon: Van StraatenPens: Van Straaten 5