Yes. An enormous amount. Some of it diachronic and consisting of analyses of word order from PIE/Pre-IE to modern languages. Others are synchronic. I would suggest, however, that without a thorough knowledge of classical Latin word order and that of at least a few of the romance languages research on medieval Latin syntax won't be very fruitful, particularly since most of the research situates medieval Latin in terms of classical Latin. Also, a lot is in German (and French and Italian).
That said, we have e.g.,
From Case to Adposition: The Development of Configurational Syntax in Indo-European Languages
From Indo-European to Latin: The Evolution of Morphosyntactic Type
Grammatical Change in Indo-European Languages: (Amsterdam Studies in the Theory and History of Linguistic Science)
Indogermanische Sprachwissenschaft
Medieval Latin (2nd Ed.)
Pre-Indo-European (Journal of Indo-European Studies Monograph No. 41)
Proto-IndoEuropean Syntax (Journal of Indo-European Studies, Monograph No 1)
The Foundations of Latin
The Blackwell History of the Latin Language
etc. There's actually substantial research on the nature of word order in classical Latin in general, so I cannot hope to even approximate how this evolved over time.
le agradezco muchísimo su respuesta. Debería haber formulado con más precisión mi pregunta, ya que concozco más o menos la bibliografía mencionada por Usted. Procuro publicaciones sobre el orden de palabras en latín tardío, latín medieval, etc.
If you are familiar with the sources I gave (and familiar with Latin of course), then you'll know that the extremely free work order in Latin from Classical to the 1942 dissertation on Indo-European laryngeal theory was quite flexible. Determining the word order in classical Latin was hard enough despite its intense study and the fact that for centuries scholars spoke and wrote in Latin, even in personal journals. One of the central means used was situating Latin in the context of proto-Indo-European (PIE). This is less important for medieval Latin, but only because it can be situated in the context of classical Latin.
From Case to Adposition describes the ways in which word order in IE languages (including Latin) changed due to increased use of adpositions, loss of distinguishable cases, etc. It relates to your question as can be see in papers such as:
Bentz, C., & Christiansen, M. H. (2010). Linguistic adaptation at work? The change of word order and case system from Latin to the Romance languages. In Proceedings of the 8th International Conference on the Evolution of Language (pp. 26-33).
But you can always check out Medieval Latin: An Introduction and Bibliographical Guide for sources on Medieval Latin syntax. Or you can scour for sources like "Syntactic aspects of Latinate texts of the early middle ages" found in the volume Latin and the Romance Languages in the Early Middle Ages, or B. Bauer's paper "The emergence and development of SVO patterning in Latin and French: diachronic and psycholinguistic perspectives".
In the end I think you will have to deal with a lot more than just WO in medieval Latin but everything from PIE studies to the linguistic framework you pick. For example, if you are a believer in universal grammar (UG) vs. a Typologist after the manner of Greenberg or Comrie, you will find significant differences not only in word order but research questioning the meaningfulness of such questions (see e.g., Croft's work especially after his formulation of radical construction grammar).