Are there any limits?

Yes, Pocket lets you purchase bitcoin without registration up to the following limits:

• CHF 1000 per day, up to CHF 100 000 yearly (365 days)
• EUR 950 per day, up to EUR 95 000 yearly (365 days)
• GBP 850 per day, up to GBP 85 000 yearly (365 days)

If you exceed these limits, you will be asked by email to identify yourself in a short video call with Pocket. All you need for that is an identity document and a couple minutes of your time.