Hi the other employer shouldnt really do anything untill HMRC inform them. The employee could change their tax code with the tax office before they change jobs to speed it up.
In my experience it doesnt take long. Under the new all singing all dancing perfect RTI systemt this should be realy quick.
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Nick
Nick Craggs FMAAT ACA AAT Distance Learning Manager
I had this happen at a client of mine. The employee was deducted BR tax in my client's employment and 810L in the employment she left. The employee contacted HMRC herself and my client received a notice of coding from them really quickly.