First the primary point to mention here is that it is not at all good to abscond from a company without information, whatsoever the reason may be. It is always advisable to discuss with HR if one is having issue and not able to serve notice period.
With regard to compensation, your question is not very clear.
what was nature of employment Permanent /tenure based contract ?
what was the role of the employee?
any training agreement /indemnity bond signed by the employee?
any security cheques deposited with the employer?
it all depends on the employment terms and conditions. If Company can prove the loss incurred due to the sudden exit of employee they have the right to claim.
From India, Madras