Tarasova's students
She started off with Rodnina & Zaitsev in pairs. They've just left the famous Zhuk at the time (the one Gordeeva writes so much about in My Sergei. Their style and choreography always remained more Zhuk than Tarasova. (2 Olympic Golds with TT. - '76 & '80)
When she started coaching dancers, her first famous team was Moiseeva & Minenkov. They were good, but never captured the Olympic gold. They were, however, the first team that allowed Tarasova to develop her unique style.
The first Olympic champions that she raised were Bestemianova & Bukin. They reflected TT's intense choreo better than anyone else. When I think of TT's style, this is the team I always think of. Really, they were the only champions that she raised from scratch. (1 Olympic Gold with TT - '84; total TT Ol. g's -- 3).
Then, just before the '88 Olympics, Klimova & Ponomarenko left their long time coach Dubova to go to TT. Their superb technique certainly has nothing to do with TT, but she did add a certain "umph" to their style. (1 gold - '88; total TT's O g's -- 4).
After that, TT retired from competitive coaching, and concentrated on theater (she also worked with G&G during this time). Then (it's not entirely clear to me how, as there are many versions) she saw Kulik training with Kudryavtsev; he wanted to train with her, she felt compelled to help him, so she took him on. Around the same time, Gretchuk & Platov left Lininchuk; they could not go back to Dubova; they've been wanting to go to TT. Now that she was out of retirement, she took them on ('98 -- 1 Olympic gold each -- total TT O g's -- 6)
Then of course Yagudin left Mishin. His '02 gold brought TT's total to 7.
Right now, she tains Shizuka, Griazev, Kulikova & Novikov (#3 Russian dance team), she works with Chait & Sakhnovsky (though their main coach is Platov), she'll obviously be working with Joubert. Rumors are floating that she may do choreography for Faiella & Scalli. I hope she continues to work with Weir, as I think his success this year is on part due to her influence.
The list of skaters who have spent at least some time with her over the last decade is almost endless -- Fusar-Poli & Margaglio, Shen & Zhao, Abitbol & Bernadis, Bourne & Kraatz, Grushina & Goncharov, Cohen, Usova & Platov...
TT's health
The current "official theory" is that the whole time TT meant not her own health, but the health of her elderly mother and her husband Krainev. I won't even comment on what I think of the veracity of that...
Dubova
I think she is probably the most unlucky of coaches. She created Klimova & Ponomarenko only to have them leave just before their big Olympic victory. Her next prized students Usova & Zhulin came in second in '94 when it seemed the gold was theirs. Her next promising stars Navka & Gezalyan broke up because of her affair with Zhulin. She fell out of favor with Piseev and Co., meaning she couldn't take on any young Russian teams. The whole experience left her very bitter (judging from some interviews I've read). Right now, she is coaching some Asian and Australian teams. At this Worlds, her teams' best result was 22nd - from a Chinese pair she coaches.