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I can't find a translation for 'turnabout' in the standard Esperanto sources, and Google Translate throws up its hands at it.
There are two possible meanings to this, one is "to turn around" and another is the more idiomatic expression of turning the tables on a situation, for example in the phrase "turnabout is fair play". See Merriam-Webster for this expression.
Google Translate is not a good source to check. I would recommend the annotated dictionary at esperanto.me. For "Turn about is fair play" it lists ĉiu laŭ sia vico. For other meanings of "turnabout", I would suggest using a thesaurus and checking those words in the annotated dictionary.
http://www.esperanto-me.org/dic/index.php?english=!turn+about+is+fair+play
Based on the comment saying that the intended meaning is “to turn around”, I suggest returniĝi. It appears in PIV with the following definition:
returniĝi. turni sin en kontraŭa direkto
And here is an example of it being used in this sense from the book Marta:
Tion dirante, li leviĝis kaj kun etenditaj brakoj rigardis la forirantan virinon.
— Fratino! — li ekkriis ankoraŭ unu fojon, — Mario! ha, ne forlasu min!
Mario ne returniĝis kaj estis jam apud la pordo de la antaŭĉambro.
