A DIFFERENT PART OF THE TEMPLE SCROLL will be on display in the Cradle of Christianity exhibition at the Maltz Museum in Cleveland, according to Art Daily:

New Dead Sea Scroll Going to Maltz Museum

BEACHWOOD, OH.- One of the most well-preserved fragments of the Dead Sea Scrolls ever discovered will be on view at the Maltz Museum of Jewish Heritage beginning Aug. 1, 2006. This fragment will replace the portion of the Temple Scroll (Cols. 19-21) currently displayed in the Museum’s world premiere exhibition, Cradle of Christianity: Treasures from the Holy Land.

[...]

The new fragment is part of the Temple Scroll, one of the most historically important of the Dead Sea Scrolls. It contains four columns (Cols. 41-44) dealing with different topics related to architectural aspects of the ideal Temple, as well as ritual details.

[...]

That's the first I've heard that sections of the Temple Scroll were being displayed on their own, and I wonder if this is accurate. I know that even the relatively complete scrolls have sections that have broken loose, but I would have thought the authorities would want to keep the whole thing together nevertheless. But I am not a conservator.

UPDATE (28 July): Eibert Tigchelaar e-mails:

Another part of the Temple Scroll was exhibited in Berlin in May 2005. "Der in Berlin ausgestellte Text - das Endstück der insgesamt acht Meter langen Rolle - enthält auf Hebräisch Informationen zu Fragen des Tempels."
Of course, the scroll has not been one scroll ever since it was opened.

Another scroll of which sections have been displayed are the cave 11 Psalms Scroll (the stitching deteriorated very soon after the opening, so that only the separate sheets remained), and part of it has been exhibited e.g. in the 1993 Washington exhibit.