Using eugenol to anesthetize freshwater angelfish (Pterophyllum scalare), behavior is apparently affected not only during anesthesia, but also after anesthesia.
The study by Cooke et al. (2004) is interesting.
Cooke, S.J .; Suski, C.D .; Ostranda, K.G .; Tufts, B.L .; Wahl, D.H. Behavioral and physiological assessment of low concentrations of clove oil anesthetic for handling and transporting largemouth bass (Micropterus salmoides). Aquaculture, v.239, p.509-529, 2004.
Are there other studies that have evaluated the behavior of anesthetized fish?