Can Glovebox chase the balance automatically?

Yes, and it does by default. Each booking runs on a payment schedule with one of three levels:

• Manual — Glovebox tracks what is due but sends nothing;
• Review queue — Glovebox prepares each email and holds it for you to approve; or
• Automatic — Glovebox sends the requests and reminders on your cadence without asking. This is the default.

Glovebox asks for money; it does not take it. The scheduler emails the customer a payment link and reminds them. It never charges a saved card on its own, whatever your settings say. Charging a card is something you do deliberately, from the booking's Payments tab.

You can freeze the schedule on any individual booking, and marking a balance as handled outside Glovebox stops it asking straight away.