Which of the following words can be formed using the letters of the word 'LANGUAGE' without repeating any letters more times than they appear?

Let's check each option against the letters available in 'LANGUAGE' $\text{{L, A, N, G, U, A, G, E}}$:
* 'LAMP': Contains 'M' and 'P', which are missing.
* 'LONG': Contains 'O', which is missing.
* 'AGE': All letters $\text{{A, G, E}}$ are directly available.
* 'ARROW': Contains 'R', 'R', 'O', 'W', which are missing.
Hence, only 'AGE' can be formed.