"Blend of Ja and quise"
The name Jaquise is commonly a male name.
Jaquise first appears in US birth records in 1988, with no earlier recorded history. Its form matches a pattern in modern American naming in which a Ja- prefix, as in Jalen or Jaquan, is attached to a -quise ending, the element seen in Marquise. On that evidence it is best described as a constructed name assembled from these parts rather than one inherited from a documented language, and no meaning is recorded for it.
The pronunciation of Jaquise is juh-KWEES.