To split a string to an array in awk we use the function split():
awk '{split($0, array, ":")}'
#           \/  \___/  \_/
#           |     |     |
#       string    |     delimiter
#                 |
#               array to store the pieces
If no separator is given, it uses the FS, which defaults to the space:
$ awk '{split($0, array); print array[2]}' <<< "a:b c:d e"
c:d
We can give a separator, for example ::
$ awk '{split($0, array, ":"); print array[2]}' <<< "a:b c:d e"
b c
Which is equivalent to setting it through the FS:
$ awk -F: '{split($0, array); print array[2]}' <<< "a:b c:d e"
b c
In GNU Awk you can also provide the separator as a regexp:
$ awk '{split($0, array, ":*"); print array[2]}' <<< "a:::b c::d e
#note multiple :
b c
And even see what the delimiter was on every step by using its fourth parameter:
$ awk '{split($0, array, ":*", sep); print array[2]; print sep[1]}' <<< "a:::b c::d e"
b c
:::
Let's quote the man page of GNU awk:
split(string, array [, fieldsep [, seps ] ])
Divide string into pieces separated by fieldsep and store the pieces in array and the separator strings in the seps array. The first piece is stored in array[1], the second piece in array[2], and so forth. The string value of the third argument, fieldsep, is a regexp describing where to split string (much as FS can be a regexp describing where to split input records). If fieldsep is omitted, the value of FS is used. split() returns the number of elements created. seps is a gawk extension, with seps[i] being the separator string between array[i] and array[i+1]. If fieldsep is a single space, then any leading whitespace goes into seps[0] and any trailing whitespace goes into seps[n], where n is the return value of split() (i.e., the number of elements in array).