Subcommand of string, returns the length of its argument in (Unicode) characters, which may differ from the result of string bytelength on the same string (because of the UTF-8 implementation).
If you want to use a name familiar from C, you might do this:
interp alias {} strlen {} string length
2003-10-17 in the Tcl chatroom, some of us played around with silly pure-Tcl implementations of string length:
proc strlen s { set n 0 foreach char [split $s ""] {incr n} set n } ;# RS
proc strlen s {llength [split $s ""]} ;# AM
proc strlen string { regsub {.} $string +1 string expr 0$string } ;# MS
proc strlen string {expr 0[regsub -all . $string +1]} ;# dkf