Hermenuetics is a general field of study which is applied to all the Semitic scriptures including the Quran. The Arabic term widely used for Hermenuetics is "Usool At Tafseer". There is also a Wiki article for the same.
I saw in the meta discussions here that Quran is not included to be on topic for this site, which is clearly offensive to Muslims considering the fact that the NT is on topic here even though it is rejected by the Jews as not a revealed text. The OT is the only scripture here which all of us agree to being a revealed text. Additionally the Muslims believe the Gospels to be revealed text (on case by case basis). The Quran is considered the next and more importantly the final installment succeeding the NT and is clearly topically more similar to the common OT which we all share.
Historically the Muslims have not bound their Quran with the past scriptures and calling it the "Final Bible" in keeping with sincerity and not offending the other groups apart from the difficulty of choosing the appropriate NT version to be bound with the Quran. Although I see the Christians have done this by binding their NT with the OT a decision of the early Pauline Church in effort to win over the Jews by any means possible. I see this to be a largely incidental polemic and historical decision which could not have even happened. Nevertheless we can see there are many copies of only NT without being bound with the OT.
Since this is a pluralistic site , it should keep out the polemics and doctrine even at the scriptural level and thus allow hermenuetic studies on all the three broad scriptures including the Quran.
Contrary to the sentiment on this site there have been Muslim scholars applying hermeneutics to the NT and the OT which goes by the name Tafsir Isra'iliyat. Infact there is a recently written book which explains the hermeneutical study of the NT and OT scriptures BY Muslim scholars . Similarly there are works by Christian authors on hermenuetical analysis of the Quran by the likes of Rodwell and Arberry.
As per the comments below if Quran is not included , then please rename the site as "Christian Biblical Hermeneutics" as this is what the site is currently about.