“I’ll Give You a Bell” Means “I’ll Call You”

In Australia, you may hear, “I’ll give you a bell tomorrow.” It means “I’ll phone you tomorrow”, not that someone will hand you a bell. Give someone a bell is informal and is also common in British English; it is not uniquely Australian.

A: Let me know when you’ve checked the dates.
B: No worries. I’ll give you a bell tonight.

It sounds natural between friends or familiar colleagues. In a formal email, customer-service exchange, or conversation with someone unfamiliar with British and Australian usage, “I’ll call you” is clearer. Avoid “I’ll give a bell to you”: in this fixed expression, the person normally comes directly after give.

https://dictionary.cambridge.org/dictionary/english/give-a-bell
https://www.pm.gov.au/media/radio-interview-fox-fm-fifi-fev-and-nicks-world-record-show