It took me right back to being a child in the 70's but I couldn't recall where I knew it from.
I listened to the end and discovered it was "Gurney Slade" by Max Harris.
Now this rang no bells with me whatsoever so I turned to Google to help me out. It transpires that the tune was the theme to "The Strange World of Gurney Slade" a six part TV series broadcast on ITV in 1960.
Anyway, it's a great piece of flute jazz music, I do love these "Jazz" theme tunes from the 60's (see also my post for Johhny Dankworth's "Tomorrows World" theme here)
There have been a few versions recorded over the years and I've started to buy the original 7" singles, this download includes a rip straight from the original Max Harris 7" as well as a 7" released by Steve Stannard in the same year. The original version is the smoothest and classiest but the Stannard version is faster and swings a bit more during the solo, leave you to decide which is the best.