ABA assay is not so quick unlike many common plant metabolites. There is a well-known immunological ABA assay (ELISA) method using ABA immunasay test kit.
However, the LC-MS/MS assay can be considered as one of the quick and reliable methods to quantify ABA in plant tissue. In brief, fresh leaf tissues need to be powdered using liquid nitrogen and extracted with acetone/water/acetic acid (80:19:1, v/v/v) at -20 degree centigrade. The extract is vortexed, centrifuged to get the supernatant (needs a couple of re-extraction), then dried using rotavapor and then under nitrogen stream followed by extract reconstitution in the acetonitrile/water/acetic acid (90:10:0.05, v/v/v), centrifuged and filtered and finally 10 micro liter of the filtrate needs to be injected in to the LC-MS/MS system. One needs to have a standard already run before with different known ABA concentrations. This method is pretty fast, ABA is partially purified and the peak detection in LC-MS/MS provides you authentic quantification of ABA in plant tissue.
For complete protocol, I will try to quote the reference paper as soon as possible.