First of all I have to note this word's origin came from Britain and commonly used in the subculture of its type. The Austin Powers films widely popularized the term.

I believe it's original meaning is : "Sexy in a psychedelic or colorful way." and I think that based off of studying the culture and context it was used in.

And so my friends, 'Keep the good times rollin!!!' Yah Baby Yah!!

P.S. The word Shag is related to sex and fuck, but I think it's much more eloquent and groovy baby.
I think you're shagadelic baby! You're switched on! You're smashing!

Oh no, baby. You're very shagadelic. I just didn't want to fall in love again, and I thought you'd never love me without my mojo. It's not you. You're fab, you're switched on, you're a bit of alright! YES!

Well, I can't believe Sir Steven Spielberg, the grooviest film maker in the history of cinema, is making a movie about my life. Very Shagadelic, baby, yeah.
by MAGNUMUS CONDOMUS December 26, 2015
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COOL with CLASS ... Lollipops and Roses ... The ultimate in being Hip.
Did you see that Lollipops and Roses video of Herb Albert and the Tijuana Brass on youtube.. Now there's one hip group of Cool Cats indeed. They definitely bring out the Shagadelicness of the 60's... something we can stand to bring back today for sure.
by SushiXTREME June 29, 2010
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An orgasmic quality inherent in the object, event or person experienced.
That babe was shagadelic.
by Bungalow Bill January 30, 2002
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The phrase coined by Austin Powers star Mike Myers as he 'compliments' his female assistants.
Austin: "Fancy a shag?"
Girl: "...what?"
Austin: "Oh, you're shagadelic baby, YEAH!"
by Crazy Axer July 16, 2009
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