The clip above is one of the film's many cameo sequences, this one showing William Shatner trying to woo Cloris Leachman over a meal as Klugman narrates.
"Baby, Baby, Baby" follows Klugman's character, Sydney, whose relationship with Palicki's seemingly-perfect Sunny turns sour when the couple moves in together.
The film won the Jury Prize for Comedy and the Audience Award for Best Comedy at the 2015 Austin Film Festival. Other cameos include Kelsey Grammar and James Roday.
Check out photos of William Shatner throughout his career:
LAS VEGAS, NV - JUNE 19: Actor William Shatner performs during his one-man show, 'Shatner's World: We Just Live In It' at the MGM Grand Hotel/Casino on June 19, 2014 in as Vegas, Nevada. (Photo by Ethan Miller/Getty Images)
HOLLYWOOD, CA - FEBRUARY 24: Actor William Shatner is seen on the video screen during the Oscars held at the Dolby Theatre on February 24, 2013 in Hollywood, California. (Photo by Kevin Winter/Getty Images)
US actor William Shatner arrives at the opening of 'Destination Star Trek London', first official Star Trek event in the UK in a decade, at the ExCel centre in east London on October 19, 2012. Celebrating the 25th anniversary of 'Star Trek: The Next Generation', the event is running from 19-21 October 2012 and will see actors, writers, producers and fans coming together to celebrate the popular science fiction franchise. AFP PHOTO / LEON NEAL (Photo credit should read LEON NEAL/AFP/Getty Images)
NEW YORK, NY - FEBRUARY 25: (L-R) Actor William Shatner and Doctor Mehmet Oz attend Dr. Oz's Health & Happiness Summit at Radio City Music Hall on February 25, 2012 in New York City. (Photo by Paul Zimmerman/Getty Images for USANA)
NEW YORK, NY - OCTOBER 06: (L-R) FOX Business Network Anchor, Dagen McDowell talks with actor William Shatner at FOX Studios on October 6, 2011 in New York City. (Photo by Astrid Stawiarz/Getty Images)
SAN DIEGO, CA - JULY 22: Actor William Shatner attends the 'Shatnerpalooza' Press Conference during Comic-Con 2011 on July 22, 2011 in San Diego, California. (Photo by Alexandra Wyman/Getty Images)
BEVERLY HILLS, CA - JULY 28: Actor William Shatner speaks at '$#*! My Dad Says' panel during 2010 Summer TCA Tour Day 1 at the Beverly Hilton Hotel on July 28, 2010 in Beverly Hills, California. (Photo by Frederick M. Brown/Getty Images)
Canadian actor William Shatner poses on April 12, 2010 in Cannes, southern France, during the MIPTV, one of the world's largest broadcasting and audio-visual trade shows to be held until April 16. Inexpensive TV formats adaptable worldwide, and big budget co-productions allowing broadcasters and producers to share out costs, are set to dominate this year's MIPTV. AFP PHOTO STEPHANE DANNA (Photo credit should read STEPHANE DANNA/AFP/Getty Images)
BURBANK, CA - APRIL 25: Actors Leonard Nimoy (L) and William Shatner (R) attend the 19th Annual 'Hollywood Charity Horse Show' at the Los Angeles Equestrian Center on April 25, 2009 in Burbank, California. (Photo by Amanda Edwards/Getty Images)
WEST HOLLYWOOD, CA - NOVEMBER 20: Actor William Shatner signs copies of his new book 'Star Trek Academy Collision Course' at Book Soup November 20, 2007 in West Hollywood, California. (Photo by Mark Mainz/Getty Images)