Tammy setups

If you are talking about Caster Tamamo most of time you will use Tamamo/ Support / DPS
For boss fighting I use Tamamo/Mash/Shiki/ Nero(bride).
But you can use Euryale, Chloe, Medea, Bride, Rider Mordred, Li, Squirtle,Vlad as DPS depnding the boos class, as a secondary support you can use Mash, Bride, Jeanne, Shuten, Wever, Hans, etc.
There are a lot of choices for an Arts Team but all depends of what servants do you have.
Tamamo (caster) is not very useful for farming, she could stay in the back line until you get her Bond CE or you can use Wever and Mordred (rider) to farm.

Art DPS+Tamamo+Waver is most used team for Art team, typically challenge quest. Any servants with Art type offensive NP and 2-3 Art card could be applied as Art DPS
Boss fights or challenge quest normally use Archuria, Vlad (need 10-10-x at least), Orion, Kuro, Bride as DPS, Waver as 2nd support.
Depending on class advantage, Vlad is the most universal but Archuria is best to pour damage since better NP spam trend.
The best pair (so far) for Tamamo is Waver since in Art team, you will have several specific turn without enough 3 Art cards, then Waver's instant charge could fulfill that defects. It is a win-win snowball effect. Hans and Helena, etc are also applicable as 2nd support, but somehow not popular as Waver (or Merlin in the future)

Another specific team is called stall team, which usually use Mashu/Jeanne/Medea Lily and even E'don as demi-support for defensive tanky purpose.

Farming? (daily farming), dual Tamamo with Surfer Mo, need Waver to charge NP. Normally Tamamo is not for farming.

Several general tips for Tamamo and Art team
(1) Normal Art team (besides of Critical Art team which use Li Shuwen/Lancelot to chop enemy boss in 1-3 rounds) required durable fight. Therefore high-level skills of all team-member is even more important than other teams due to shorter CD.
(2) Generally Art team is build around Tamamo, since her NP is quite unique. In other word, her NP is engine for Art team
(3) That is why Waver (and Merlin) are more popular in pair with Tamamo as Art team, not simply because they are SSR.
(4) More Art cards, better effect. Therefore at least you should have team of > 7 Art cards, and Buster type NP is not recommended (Emiya: I am out?)
(5) Even Critical Art team, still required Tamamo's 3rd skill.
(6) The major source for damaging enemy is DPS's Art NP. Higher NP level, better. Critical star is normally used for doubling the NP gain (typically for Tamamo/Waver and Merlin).
(7) Somehow weak against enemy with bunch of debuffs, typically stun and charm. You may need more flexible choice.