This staff appears to be a giants icicle, but it does not melt.

The staff has 5 charges and recharges 1d4-1 at the end of a long rest. If all charges are spent, roll a d20. On a 1 the staff melts and it destroyed.

As an action, you can make a 15ft cone of ice emit from Icicle. All creatures in the cone must succeed on a DC 14 Dexterity saving throw or take 3d6 cold damage, or half as much on a failure.

Proficiency with a quarterstaff allows you to add your proficiency bonus to the attack roll for any attack you make with it.

Notes: magic user, Versatile