The answer to
A shaver's dream
A greaseless
No brush
Shaving cream
Pity all
The mighty Caesars
They pulled
Each whisker out
With tweezers
Water heater
Out of kilter
Try the brushless
Whisker
Wilter
Your razor
Floats thru
The hair
With the
Greatest of ease
Train approaching
Whistle squealing
Pause!
Avoid that
Rundown feeling!
It's a good
Old Spanish custom
Take your mug
And brush
And bust 'em
Headline news
For face
And chin
Now improved
With lanolin
Pull off
The road
To change a flat
Protect your life--
No spare for that!
When the stork
Delivers a boy
Our whole
Darn factory
Jumps for joy
Listen shavers
Knock on wood
When offered
Something
"Just as good"
Moonlight
And roses
Whiskers
Like Moses
Just don't go together
He used
Umbrella
For parachute
Now rejects
Every substitute
The band
For which
The grand stand roots
Is not made up
Substi-toots!
We don't
Know how
To split an atom
But as to whiskers
Let us at 'em

You can validate your puzzle solution with certitude.