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The most recent FAQ has altered some wording, namely this bit:

Spring FAQ 1 wrote:
Q: If a unit uses a rule that removes them from the battlefield and then sets them up again, such as the Teleport Homer ability or the Gate of Infinity psychic power, does that unit count as having moved for the purposes of moving and firing Heavy weapons?
A: Yes. Treat such units as if they are arriving on the battlefield as reinforcements.

Fall FAQ 2 wrote:
Q: If a unit uses a rule that removes them from the battlefield and then sets them up again, such as the Teleport Homer ability or the Gate of Infinity psychic power, does that unit count as having moved for the purposes of moving and firing Heavy weapons?
A: Yes.

Does this mean that, where it was previously illegal, it is now legal to DMC a blob of Tzaangors and then, after placing them back on the table, cast Warptime on that unit in the subsequent psychic phase?

No, because even without the FAQ they still are Reinforcements, as defined in the BRB. The FAQ says reinforcements cannot move further that turn, thus you cannot Warptime a unit that has been DMC'd. It was previously legal to do so, then made illegal by the FAQ preventing reinforcements from moving again that turn. That hasn't changed and it's still illegal to do so.

That is the RaW (What the rules, as written in the rulebook, actually say) answer. Whether or not you accept that is up to you.

 Elric Greywolf wrote:
The most recent FAQ has altered some wording, namely this bit:

Spring FAQ 1 wrote:
Q: If a unit uses a rule that removes them from the battlefield and then sets them up again, such as the Teleport Homer ability or the Gate of Infinity psychic power, does that unit count as having moved for the purposes of moving and firing Heavy weapons?
A: Yes. Treat such units as if they are arriving on the battlefield as reinforcements.

Fall FAQ 2 wrote:
Q: If a unit uses a rule that removes them from the battlefield and then sets them up again, such as the Teleport Homer ability or the Gate of Infinity psychic power, does that unit count as having moved for the purposes of moving and firing Heavy weapons?
A: Yes.

Does this mean that, where it was previously illegal, it is now legal to DMC a blob of Tzaangors and then, after placing them back on the table, cast Warptime on that unit in the subsequent psychic phase?

This has recently been debated in some depth - see here for a recent thread. There's not a consensus one way or the other as the term "reinforcements" is not explicitly defined.

EDIT: BCB has summarised one side of the debate quite effectively, but I would recommend you check the linked thread to properly understand both sides.

Aelyn wrote:

This has recently been debated in some depth - see here for a recent thread. There's not a consensus one way or the other as the term "reinforcements" is not explicitly defined.

Thanks!