2 cents and my opinion...
Well, if you are pretty much only starting out, then beginners can train their body with more frequency (ie: chest/shoulders, back, even leg and hip work 2x per week. arms can be done perhaps even more 3x) than hitting parts only once per week. Since you are not handling so much weight, you probably don't need a full week for recovery. (especially on smaller groups) I might google some beginner routines that cover fuller body work. Hitting 80%-90% of the body with heavier compound exercises IMHO, is going to make more of an inroad into your physical fitness and muscle building.
For instance your day 1, only addresses pretty much 20% of your body with chest and tricep muscles and is only done once per week.
You do not need a ton of sets for one exercise. After 3-5 sets of say 8-10 reps, the body is certainly stimulated enough to grow. So volume is not as important as frequency at the start anyway.
Also, the thought of needing a lot of time in the gym is skewed. Many trainees can get a great W/O and add a great deal of strength & mass with 45mins to an hour 2-3 times per week.
3 days per could be something like...
Day 1
Squat or Leg Press 3x8-10
Bench Press 3x8-10
Arms 3x8-12 (curls and tricep work)
Abs 2x20
Day 2
Rowing 3x 8-10
OHP's 3x8-10
Calves /maybe grip work
Day 3
Dips or maybe Incline Presses 3x8-10
Deads 2x8
Arms ...
Abs ...
2 days per...
Monday
Squat – back or front 3×5
Bench press – 3×5
WeightedChins – 3×8-10
Standing calf raises – 2-3×10-12
Crunches – 2×15
Tricep pressdwns or extensions 3x8-12
Thursday
Seated shoulder press or overhead BB press – 3×5
Deadlift or Romanian deadlift or leg press – 3×8-12
Weighted Dips – 3×8-12
BB Curls – 3 8-12
Rotator cuff work
Forearm/grip work
If you look at most days, you are covering a good deal of the body's main mass and still getting iso work in on arms etc. along with getting frequency of a few to 3x per week on a good bit of the body.
Add a few pounds per week, especially to the large compound exercises and you could drag the cycle out for a while.
Also, you could look into abbreviated full body routines or read up on authors like John McCallum, Bill Starr, Brooks Kubik, Stuart McRobert, Bradly J. Steiner, Tan Slacks of Denzo Ban example:
http://www.oldtimestrongman.com/strength-articles/hard-work-basic-exercises-bradley-j-steiner
http://ditillo2.blogspot.com/2014/09/john-mccallum-routines-layouts-only.html
There is a lot of good info on training, you just have to know a bit where to look and how to approach it for your best gains.