Help to ID 1960's Danish Sideboard  

It looks British to me. Perhaps not a revelation since you bought it there....

Thanks, meant to say the shop sold Danish furniture, although if you think it is British maybe they sold "Danish" style furniture.

There are a number of British companies who made very Danish Modern style pieces often in teak. One notable example is G-Plan, which actually hired Ib Kofod Larsen to design a few pieces. But there where lots of others. I almost never see them because they must not have been exported to the USA, so I am much less familiar with them.
There are other very knowledgeable members on here who live in the UK, perhaps one of them will recognize it.

Looks like a Remploy 50s/60s sideboard. Sold to the UK market by postwar companies with less access to the quality woods available to other countries and generally a mixture between Danish, Italian and older British styles.I have seen those handles on Remploy sideboards before - but saying that they might well have been generically available handles at a time when there wasn't much choice...
To be honest you would be best not to throw money at it when restoring..