Lyric discussion by Keystroke 

The overall tone feels like it's about recovery from alcoholism - "...empty coffee cup", "Still wake up with shaking hands" allude to that; What ties the verses together is the sense of guilt and disorientation , and that there's a higher power judging him ("...the sun look angry at me")- that's sort of where 12 step programs take you.

 I wonder if "the gypsy wasn't lyin'" is a reference to a rehab counselor, because a gypsy is very dubious, as is often the case with rehab counselors who tend have personal experience with addiction. In 12-step programs, a counselor would tell you that if you're an alcoholic, you're gonna keep drinking compulsively ("All the salty margaritas.. gonna drink um up") unless you keep working your 12-step program for life.

" ...sun look angry through the trees... crucified thieves,   and Heaven help..."      are all spiritual references.  Sun represents all-powerful, always present, unassailable god/higher power;   the crucified thieves are reminiscent of Jesus on the cross (per the Bible, Jesus was crucified along with two thieves)    "Desperado under the eaves" seems to refer to the fact that he's sneaking away from creditors, but in the larger, poetic sense, it means guilty in the eyes of the higher power.  Especially in the sense that alcoholism is often a form of escape from matters of conscience.
  So he's left listening to the AC hum, but guilty before God (angry sun), awaiting his fate as a mortal. 

 "Look away down Gower Avenue" is interesting because at one end is Paramount Studios (on Melrose) which could represent fame and the world's stage, and at the other end is the towering church Hollywood Presbyterian which could represent spiritual transition (baptism or funeral)...  which way is he looking?

Not bad, but here is a little more insight from someone who grew up in Hollywood. As far as gypsy goes there are more than a few fortune tellers in Hollywood, but your thinking fits, about 12 steps. Under the Eaves refers to a shopping center on Sunset Bl. and Gower St. that is called Gower Gulch and is set up with a western theme with boardwalks and eaves! It is true that Gower St. ends at Melrose where the studio is, but it also goes past a very large cemetery (The Hollywood Forever Cemetery). This can also be a reference...

Gower Gulch is were they used to shoot a lot of westerns; the term "drugstore cowboy" came from all the extras from these films who would congregate in the drugstores along Gower drinking coffee and probably whisky. This is the true origin of the songs title.

Great call Pat1234, dizzoh, on the shopping center Gower Gulch !!! It's classic Zevon tongue in cheek!! The cemetery is another good call - it all references mortality. I think I missed a good bit in my original analysis: WZ has this great technique of zeroing in on a theme with visceral images (i.e. his "empty cup" - depression is a "coffee" cup - sobriety). While the angry sun through the trees is a higher power metaphor, it's also a very real and painful source of sunburn...

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