I really don't know much about this issue, and a search of customary medical sources revealed no studies on the subject, but I didn't want your inquiry to go without response.
I suspect that you know tamoxifen can have a range of side effects, some of them quite worrisome. I'll limit my reply to some of those having potential implications for scuba. There may be others:
1. As you seem to be aware, blood clots (thrombosis) is one of the more serious, documented adverse reactions. Given the plane rides, sometimes long, that many dive trips involve, and the venous gas emboli often formed during ascent from a dive, even recreational dives where safe decompression guidelines are observed, one could be at increased risk.
Any swelling, redness, discomfort or warmth in the legs, breathing difficulty, sharp chest pain or other unusual developments should be brought to immediate medical attention.
2. A tendency to cause nausea & vomiting could by itself, or combined with boat rides & u/w surge, interfere with diving.
3. Mood swings/depression are not uncommon. To the extent that these may impair attention/concentration, decision-making, ability to tolerate routine aggravations, impulse control, or even bring on suicidal thought, the risk to scuba is obvious.
4. Loss of energy also is not uncommon. To the extent that this may impede ability to respond to the possible rigors of scuba, such as dealing with heavy currents, unexpected downwellings, buddy rescue & the like, this would be problematic.
5. Memory loss. This has yet be to solidly confirmed, but one should be on the look out for any significant changes in this function.
An adequate topside trial on the medication prior to scuba should reveal much about what enduring side effects, if any, one is going to experience.
This is educational only and does not constitute or imply a doctor-patient relationship. It is not medical advice to you or any other individual, and should not be construed as such.
Best regards.
DocVikingo