J.H.
You can freeze it and have it later.
Another things we do with leftover BBQ chicken is BBQ Chicken Pizza.
Chop or shred the chicken. Spread over pizza dough that has been partially baked already (or use Boboli's). If there is not enough BBQ sauce on the chicken and you want more, spread some on the dough. Add shredded cheese and bake. My kids love this!