Arrow specifications have the form start arrow kind-end arrow kind. To produce a two-headed arrow, set end arrow kind to be >>. To produce , set start arrow kind to be right hook (the TikZ hook is slightly bigger the standard LaTeX one). Setting start arrow kind to to reversed gives . All arrow tips are described in section 15.3.4 and chapter 23 of the TikZ manual.
\clip (-1,-2) rectangle (3,1);
\draw[right hook->>] (0,0) -- (1,0);
\draw[to reversed->] (0,-1) -- (1,-1);