Will bailiffs give up?

Yes

After 90 days after being given the warrant or liability order.

If after 90 days, the bailiff cannot recover the debt, or cannot find the debtor or his vehicle, the bailiff is under a contract with his firm to return the enforcement power.

For 12 months from the date the original warrant was issued, and the debt being recovered is a traffic contravention debt, the bailiff company will add the vehicle registration to an online database.

If a bailiff finds the vehicle on a highway using an ANPR van within the 12 months from the date on the warrant, the bailiff will do a drive-by enforcement, and take control of the car without giving the required notices to the owner of the vehicle, regardless whether or not the debtor still owns the vehicle.^[1]

After 12 months, the bailiff company will return unrecovered debts to the council or creditor.

^{[1] See Bailiff took your car using ANPR van}