Before becoming guitar teacher at the Hurst community college in Tadley, Hampshire, he played with Eric Clapton, Peter Green of Fleetwood Mac, and Sparks, among others.
He has also had inspiration from his family: his cousin Christine McVie was the keyboard player and vocalist in Fleetwood Mac.
Now it seems that Mr Reece may gain some fame in his own right, and not just among his pupils at Hurst, where he runs a rock school.
The former session guitarist has been signed to Acorn Music, a British record company which owns parts of the publishing rights to the work of such famous musicians as Elvis Presley, John Lennon and Ella Fitzgerald.
It is releasing Mr Reece's two latest solo albums Clown for the Day and Sands of Kitty Hawk so they can be downloaded from websites, including iTunes and Amazon.
Mark Olrog, owner of Acorn Music, said Mr Reece's teaching work was part of his appeal to the company. "He is helping young artists and writers trying to make music their career through his expertise and experience," he said.
"And if he discovers any young bands at Hurst, we'll be very interested.
It's less far for us to travel than America."