Here are the nicknames given to some characters and approved by most of the Construction Squad members.

Hibiki- Captain

( They do not dare to call him anything else since Hibiki is...easily pissed off.)

Ryuugamine- Kendo Club Captain by Madara

Madara- Goofball ( in a good way )

Botan- Angel

Arata- Clean-freak

Rokujo- Pervert killer

Akechi- Tea lover

Tenki- Dorayaki ( he likes dorayaki, you see. ) 

Gin- Snake guy

Kurotsuchi- Devil

Ukitake- God/ Deity

Yamamoto- Gramps

Ichigo- ( Heh.) Strawberry

Byakuya- Cool guy

Aizen- None yet. ( but they all agree that he is...undeniably hot )

Kyoraku- Womanizer

Yachiru- Miss

Toshiro-  Ice boy

Unohana- ...... ( we do not wish to trigger her wrath upon us ~ The Construction Squad. )

Kenpachi- Beast

Ikkaku Madarame - Baldy