The most common and most likely answer to this crossword clue is the 4 letter word BLED
I've seen this crossword clue in The Sunday Telegraph
B
L
E
D
Buddy explains!

The straight part
We know that "given old-fashioned medical treatment" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case given old-fashioned medical treatment = bled.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 BLED mean?
BLED verb- (of a person or animal) To lose blood through an injured blood vessel.
- To let or draw blood from.
- To take large amounts of money from.
- To steadily lose (something vital).
- (of an ink or dye) To spread from the intended location and stain the surrounding cloth or paper.
- To remove air bubbles from a pipe containing other fluids.
- To bleed on; to make bloody.
- To show one's group loyalty by showing (its associated color) in one's blood.
- To lose sap, gum, or juice.
- To issue forth, or drop, like blood from an incision.
- (of a phonological rule) To destroy the environment where another phonological rule would have applied.
- (in parts of French North Africa) Hinterland, field.