The most common and most likely answer to this crossword clue is the 6 letter word DEGREE
I've seen this crossword clue in Financial Times
D
E
G
R
E
E
More clues leading to the result DEGREE
- Does a third one mean tough questions?
- Some deride Green's award
- Absurd greed over English qualification
- Girl oddly eager to enter for baccalaureate, say
- Some deride Greek as an academic qualification
- Doctor accepting say extremely erudite qualification
- Measure jade green boxes
- Level for one river entering north-western estuary
- [Extent of revolution in BA?]
- Level rising higher, house ends in river
Buddy explains!

The straight part
We know that "BA possibly" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case ba possibly = degree.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does DEGREE mean?
DEGREE noun- A stage of proficiency or qualification in a course of study, now especially an award bestowed by a university or, in some countries, a college, as a certification of academic achievement. (In the United States, can include secondary schools.)
- A unit of measurement of angle equal to 1/360 of a circle's circumference.
- A unit of measurement of temperature on any of several scales, such as Celsius or Fahrenheit.
- The sum of the exponents of a term; the order of a polynomial.
- The dimensionality of a field extension.
- The number of edges that a vertex takes part in; a valency.
- The number of logical connectives in a formula.
- The curvature of a circular arc, expressed as the angle subtended by a fixed length of arc or chord.
- A unit of measurement of latitude and longitude which together identify a location on the Earth's surface.
- (grammar) Any of the three stages (positive, comparative, superlative) in the comparison of an adjective or an adverb.
- (obsolete outside heraldry) A step on a set of stairs; the rung of a ladder.
- An individual step, or stage, in any process or scale of values.
- A stage of rank or privilege; social standing.
- (genealogy) A ‘step’ in genealogical descent.
- One's relative state or experience; way, manner.
- The amount that an entity possesses a certain property; relative intensity, extent.