Is the partnership is a controlled foreign partnership? Have you filed Form 8865? Assuming so, the Partnership will give you K-1s allocating income between US and foreign source. If the Partnership is doing business in California, you'll also generate California K-1s and have a California liability. You'll get a credit personally in the UK for any Federal & California tax. Hopefully you already have a certificate of coverage.
Ultimately you'll pay the higher of UK tax - or Federal + California tax (plus UK NIC) on your share of partnership profits.