I'm guessing 'dibbing' was choosing who was 'it' (rather than 'he') in chaste games? We used dips. Here are a few we employed:
Dip dip dip
My blue ship
Sails on the water
Like a cup and saucer
Dip dip dip
You are not 'it' (last one was therefore 'it')
Lady, baby, gypsy, queen, elephant, monkey, tangerine!
One potato, two potato, three potato, four
Five potato, six potato, seven potato, more!
This was done going round tapping everyone's fists held out in front. If your first was 'more' you had to remove it from the round till the last fist left was 'it'. The chanter had to include their own fists too.
One of the boys, Nicholas, was hugely popular. He played kiss chase with a hareem of girls and only kissed the last one to be caught! He definitely engineered the result too! I think this game taught me (at about 7 or 8 years old) that it wasn't necessarily the prettiest girls who were liked. He usually left me till last and I was by no means the prettiest. A great confidence boost for someone with two pretty sisters!