I’ve been relatively lucky. My employer required all U.K. flightcrew to exchange their (then) U.K. EASA licenses via SOLI for another EU state’s EASA license last year. In April this year I applied for a U.K. Part-FCL license to sit alongside the EASA license and received the license and medical a few weeks ago.
When chasing up I was told they are not working to their standard SLAs (“service level agreement”) - or basically turnaround time - for license applications. Brexit has seen the CAA’s workload explode and of course the pandemic has only made things worse, so sadly applications are going to take time.