An anagram is a simple rearrangement of letters. In an anagram clue you will always find a straight definition, the word or words to be anagrammed, plus an anagram indicator. The anagram indicator is a word or phrase that suggests movement, strangeness, or a poor condition.
Some examples of anagram indicators are:
Sample clue:
Movement: changed, collapsed, mixed, exercising, dancing, in a drunken state, out of control, in a mess, after repairs, is swirling about
Strangeness: silly, funny, odd, unconventional, wacky, unusual, mad, eccentric
Poor condition: sick, hurt, damaged, blown up, broken, after an explosion
Grant, a noted eccentric (6)In this case, the solution is DONATE. Grant is the definition (with a little bit of trickery to disguise it as a person's name). A noted contains the letters of donate when they're rearranged. And eccentric is the anagram indicator.