Typically, the following timescales apply:-

.uk Domains - once the IPS TAG change request has been processed by your existing registrar, your domain can be transferred into your account immediately.

gTLD (.com, .net, etc) Domains - The authorisation email will be sent within a few hours of submitting the transfer request. Once this has been responded to, your transfer should complete within 5-7 days.

Other Domains - Transfers typically take up to 7 days to be processed.

Please note that if you are switching to Insight Hosting nameservers, DNS propagation times will apply - this is usually 3-6 hours, but can potentially be up to 48 for all users.