Query below returns distribution of column name lengths (number of characters).

Query

select length(c.column_name) as column_name_length,
       count(*) as columns,
       count(distinct c.table_schema || '.' || c.table_name) as tables 
from information_schema.columns c
inner join information_schema.tables t on 
      t.table_schema = c.table_schema and t.table_name = c.table_name
where t.table_schema not in ('information_schema', 'pg_catalog')
      and t.table_type = 'BASE TABLE'
group by length(c.column_name)
order by length(c.column_name);

Columns

• column_name_length - lenght in characters of column name
• columns - number of columns with this length
• tables - number of tables that have columns with this name length

Rows

• One row represents one name lenght (number of characters)
• Scope of rows: each column length that exists in a database
• Ordered by length ascending (from 1 to max)

Sample results