The most common and most likely answer to this crossword clue is the 6 letter word STRICT
I've seen this crossword clue in The Guardian
S
T
R
I
C
T
More clues leading to the result STRICT
- Particular hamper engineers disposed of
- Tough area with no policeman on top of it
- Rigorous Detective Inspector leaving area
- Rigorous limit avoid by engineers
- Austere set are in City regularly
- Rigorous, in a way, of the stomach to discharge gas
- Hard villains finally cheated in hearing
- Reporter’s conned by small firm
- Disciplinarian leaders of schools teach religious instruction classes, typically
- I’d backed away from neighbourhood disciplinarian
Buddy explains!

The straight part
We know that "Faithful" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case faithful = strict.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 STRICT mean?
STRICT adjective- Strained; drawn close; tight.
- Tense; not relaxed.
- Exact; accurate; precise; rigorously particular.
- Governed or governing by exact rules; observing exact rules; severe; rigorous.
- Rigidly interpreted; exactly limited; confined; restricted.
- Upright, or straight and narrow; — said of the shape of the plants or their flower clusters.
- Severe in discipline.
- Irreflexive; if the described object is defined to be reflexive, that condition is overridden and replaced with irreflexive.