The formulation of the question is quite difficult to understand but if I am correct - you ask about a person who is a holder of Tier 2 General Visa and wants to switch to Tier 1 Exceptional Talent Visa. And the core of the question is about Letter of Recommendation.
Head of Department or Head of the Course is among the titles for people who can provide a Letter of Recommendation. Hence, for Graduates, it may be a chance to get this important document from a person with a strong reputation in a niche sector.
However, you must apply two Letters of Recommendation and the other one should not be from that University (and in the ideal case - not from University at all) but from other well-established organisation (and C-level manager who will sign the Letter for you).
By the way, this question was heavily discussed in my blog since I got questions about Letter of Recommendation almost every day.
Hence, you can find some clue here:
Hopefully, you will find the answer to your question in any of these articles.