Collocations for custody - noun

child
a bitter child custody dispute

joint, sole | safe
If valuables are placed in the safe, the hotel is responsible for their safe custody.

ask for, claim, demand, fight for, seek | award sb, give sb, grant sb
The parents were given joint custody of the two children.

gain, get | have

battle, dispute | hearing

~ of

military, police
The man died while in police custody.

protective
The opposition leader has been taken into protective custody.

be remanded in, be taken into
A man has been remanded in custody charged with the murder of an eight-year-old girl.

be held in, be kept in, be/remain in | escape from | be released from

in ~
She will remain in custody while reports are prepared about her mental condition.

out of ~
trying to keep young people out of custody