Overpaid tax through PAYE

Hi can anyone help?
I have overpaid tax through my PAYE as I didn't get my P45 in soon enough when commencing work for a new company therefore, they taxed me at basic rate. I keep on chasing the HMRC for it but seem to be getting no where. They have said to me they will investigate if it's not sorted by the end of June but I have heard this all before... Can anyone recommend anything? I'm going on holiday soon so would be really helpful if I could get it asap.
Thanks guys
I have overpaid tax through my PAYE as I didn't get my P45 in soon enough when commencing work for a new company therefore, they taxed me at basic rate. I keep on chasing the HMRC for it but seem to be getting no where. They have said to me they will investigate if it's not sorted by the end of June but I have heard this all before... Can anyone recommend anything? I'm going on holiday soon so would be really helpful if I could get it asap.
Thanks guys
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Comments
If I was in your situation, I'd ensure that HMRC have you listed as an employee for your current employer and your last employer has removed you from their employee records (a P45 can be raised, but unless HMRC have been told they are still likely to keep you on BR tax code!), then asking them the current wait for a notice to be revealed. At any normal time, it takes about 4-6 weeks (depending on how often payroll is run).
Other than that... I can't give you any more hope. Sorry.
If it's this year though, you should be refunded in your next payslip (as long as your employer updates their records promptly).
Good luck