5th Dimension: "Workin' On A Groovy Thing" live on Woody Allen Show (1969) Requested by Ted G "Workin' On a Groovy Thing" is a song written by Neil Sedaka and Roger Atkins and originally recorded by Patti Drew on her 1968 album Workin' on a Groovy Thing that reached #34 on the U.S. R&B chart, #62 on the Billboard Hot 100, and #86 in Canada. Also in 1969 it was recorded by The 5th Dimension. This version reached# 20 on the Billboard Hot 100, #9 on the U.S. adult contemporary chart, and #15 on the