Can I easily achieve the same warmth of a 5mm wetsuit by layering under/over a 3mm wetsuit with a vest/neoprene shorts etc? A 3mm is ideal for most of the diving I do but I will be doing repetitive diving on a Liveaboard this summer and have been advised that I will be more comfortable in a 5mm wetsuit after repetitive diving.
Although it all depends on your resistance to cold, usually a 5mm alone will be warmer than layering a 3mm with a 2mm vest. Also, it strongly depends on the brand and what kind of neoprene thicknesses they use in the different body panels. Usually arms and other articulated areas have thinner neoprene for added flexibility. You also need to clarify what's the water temperature, water in Italy in summer has different temperatures than Egypt. Then comes the depth, there are thermoclines at different depth and depending on the area and currents, temps can drop considerably.
Mind that you will be doing repetitive dives. That 3mm might be sufficient at the beginning but as you get tired, you'll feel cold.
That wetsuit will also be compressed with depth and depending on its age and usage, its elasticity and resistance to compression will vary. That means that 2 independent layers of 3mm will normally compress more than a single 5mm piece as long as they are both in similar condition. In addition, layering will reduce flexibility and depending on the fit of the wetsuit, those layered areas might restrict blood circulation making you feel even colder.
IMO, get a good hood even if you think you will not need it, you can lose from 20 to 40% of body heat from the head. Eat a low weight but high caloric meal between dives (basically low quality food and sweets) and try to dry your wetsuit as much as possible between dives. There's nothing worse than jumping on a cold wetsuit when you are already having goosebumps on the deck.
Finally, warm yourself immediately after finishing the dive, remove everything and turn it inside-out so the part that touches your skin dries first. Get a rush guard in addition, if you feel cold between dives wear it underneath the whole thing.
* One more thing, although very personal, pee before diving and if the wetsuit is yours and / or you don't mind the smell and comments if it is rented rented, don't hold your pee UW, your body will spend extra calories in order to keep it at body temperature. That's the reason actually why we feel the urge to pee when diving, our body wants to get read of the extra load to save energy
Have fun.