Fallaway Reverse and Slip Pivot is a Fellow (Gold) Foxtrot figure in Guy Howard's book. (On the page titled "Figures Common to More Than One Dance," Howard shows it for Waltz and Quickstep also.) But it is in the USISTD Silver Foxtrot Syllabus, in a figure called "Fallaway Reverse Turn Slip Pivot Curved Three." Is it easier for Americans to do, or is it just a matter of someone's difference of opinion?
On the other hand, I have not seen Three Fallaways (a natural follow-on to Fallaway Reverse and Slip Pivot) described in any syllabus. An instructor taught it to us in (what Americans would call International) Tango, and you can find it described on the Internet for other dances, such as Foxtrot (and it also works well in Waltz). My partner and I like this figure--in fact, she insists on doing it whenever possible. If someone can point me to a syllabus that lists this figure I would appreciate it.