First of all, the list of data should be sortable(e.g. by related time, or by place, or sorted by order which is maintained manually).
Take following list for example:
#id #time #place #disp_order
1 ... New York 3
2 ... Devizes 5
3 ... London 1
So when showing entry #2, it will be:
New York …
<< Prev is London Next is Devizes >>
For data retrieving:
#1. Get data entry of #1 New York($entry)
#2. Get prev entry:
SELECT id, place FROM links WHERE disp_order < $entry ORDER BY disp_order LIMIT 1
#3. Get next entry:
SELECT id, place FROM links WHERE disp_order > $entry ORDER BY disp_order DESC LIMIT 1
Hope it helps.