Banned at the time, the promotional film for the 1985 single has been recreated from the original film rushes and the new audio mix.
The new song also features on the band's new album, 'Giants Of All Sizes'.
The acclaimed Irish band's catalogue-spanning video restoration campaign launches this Thursday, 3 October.
The much-acclaimed album includes the band's UK Top 40 breakthrough hit, 'Do You Remember The First Time?'
The collector's edition's 27 songs and score pieces are presented on two LPs, pressed on translucent blue and white vinyl.
The legendary artist will perform his new record, 'Free' in its entirety at The Barbican Centre on Thursday, 21 November.
Three further short-form episodes will be going live on 8, 15 and 22 October respectively.
Robertson was accompanied by house band the Roots in his first network TV performance for eight years.
Pete Townshend says the track “is dedicated to every artist who has ever been accused of ripping off someone else’s song."
“I always like pushing myself creatively to try and come up with new ideas and new sound for myself.”
The album has been fetching dizzying prices and will be available on vinyl along with the rest of Flynn's catalogue.
Both albums have received gold certifications and 'Hot In The Shade' features the classic power ballad, 'Forever'.
The young Canadian's recent single ‘In My Head’ has rapidly been establishing his reputation.
The stirring instrumental rendition was captured during the 'Peter Frampton Finale' farewell tour.
The releases further acknowledge Caravan's importance in developing the progressive and experimental style that became known as the Canterbury Sound.